explain what is variation

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Expert Solution

Solution :-

Variation is a way to show how data is dispersed, or spread out. Several measures of variation are used in statistics.

There are four frequently used measures of variability: the range, interquartile range, variance, and standard deviation.

1) Range :-

The range of a set of observations is the absolute value of the difference between the largest and smallest values in the set.

2) Interquartile Range :-

The interquartile range (IQR) is the range of the middle 50% of the scores in a distribution. It is computed as follows:

IQR = 75th percentile - 25th percentile.

3) variance :-

variance is defined as the average squared difference of the scores from the mean.

For population,it can be calculated by using below formula.

For Sample,it can be calculated by using below formula.

Standard Deviation :-

The standard deviation is simply the square root of the variance.

milcah answered 11 months ago

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